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Luden [163]
3 years ago
5

Two cubes have surface areas of 72 square feet and 98 square feet. what is the ratio of the volume of the small cube to the volu

me of the large cube?
Mathematics
2 answers:
Paha777 [63]3 years ago
5 0

Answer:

Ratio of the volumes of the cubes = 216 : 343

Step-by-step explanation:

Since surface area of a cube is represented as 6a² where a is the side of a cube.

Let a is one side of large cube and b is the side of smaller one.

Ratio of their surface area = \frac{6a^{2} }{6b^{2}}=\frac{72}{98}

(\frac{a}{b})^{2}=\frac{36}{49}

\frac{a}{b}=\sqrt{\frac{36}{49}}

\frac{a}{b}=\frac{6}{7}

Now ratio of the volumes = \frac{a^{3} }{b^{3}}=(\frac{1}{b})^{3}

Ratio = (\frac{6}{7})^{3}=\frac{216}{343}

Therefore, ratio of the volumes of the cubes = 216 : 343

Serjik [45]3 years ago
3 0
Let's denote the sides of the small and bigger cubes a and b respectively. Then, we can write that 6a^{2}=72, a=2\sqrt{3} and 6b^{2}=98, b=[tex] \frac{7}{sqrt{3}}. The volume of the smaller cube is 2 sqrt{3} ^{3} =  24 sqrt{3}. The volume of the bigger cube is \frac{7}{sqrt{3}}^{3} = \frac{343}{3sqrt{3}}{. We have to find  \frac{24 sqrt{3}}{frac{343}{3sqrt{3}} = 216/343 
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Anika [276]
We see from the attached, that kite area = product of the diagonals / 2
The diagonals could be 12 by 8 or
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It cannot be narrowed down any further.

5 0
3 years ago
A coin is tossed. If head appears, A spinner that can land on any number from 1 to 4 is spun. if tales appears a second coin is
kramer
The answer is c because if head appears and the spinner is spun with 1 - 4 on it then you can get either h1, h2, h3 or h4 and if tales appears and another coin is tossed you can get either th or tt
5 0
3 years ago
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expeople1 [14]

Answer: 9


Step-by-step explanation:

To square a number, you multiply it by itself twice.

In this case, your answer would be 3 x 3 = 9.

Hope it helps! :)

3 0
3 years ago
The playing life of a Sunshine radio is normally distributed with mean LaTeX: \muμ = 600 hours and standard deviation LaTeX: \si
Hitman42 [59]

Answer:

The probability that a radio selected at random will last from 600 to 700 hours is 0.3413

Step-by-step explanation:

The playing life of a Sunshine radio is normally distributed

Mean =\mu = 600 hours

Standard deviation =\sigma = 100 hours

We are supposed to find the probability that a radio selected at random will last from 600 to 700 hours i.e.P(600<x<700)

Formula:Z= \frac{x-\mu}{\sigma}

At x = 600

Z= \frac{600-600}{100}

Z=0

P(X

At x = 700

Z= \frac{700-600}{100}

Z=1

P(X

P(600

Hence the probability that a radio selected at random will last from 600 to 700 hours is 0.3413

8 0
3 years ago
How many triangles can be formed with segments measuring 34 cm, 13 cm, and 38 cm? Select from the drop-down menu to correctly co
Lilit [14]

The triangle inequality theorem is not followed,  no triangle can be formed.

Triangles

In Geometry, a triangle is a three-sided polygon that consists of three edges and three vertices.

The triangle inequality theorem describes the relationship between the three sides of a triangle.

According to the triangle inequality theorem, the sum of any two sides must be greater or equal than the length of the third side.

Here, the sides are 34 cm, 13 cm, and 38 cm.

34cm + 13 cm = 47 cm > 38cm (theorem followed)

34 cm + 38 cm = 72 cm > 13 cm (theorem followed)

13 cm + 38 cm = 51 cm < 34 cm (theorem not followed)

Since the triangle inequality theorem is not followed,

Hence, no triangle can be formed.

To know more about triangles click the link given below.

brainly.com/question/9450761

7 0
2 years ago
Read 2 more answers
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